Mathematics 9709 · AS & A Level · Numerical solution of equations

Numerical solution of equations — practice question

The variables $x$ and $y$ are related by $y = K 2^{px}$, where $K$ and $p$ are constants. The plot of $\ln y$ against $x$ forms a straight line that goes through the points $(1.35, 1.87)$ and $(3.35, 3.81)$, as the diagram shows.
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Determine the values of $K$ and $p$ correct to $2$ decimal places.

Worked solution & mark scheme

This 6-mark question has a full step-by-step worked solution and mark scheme. One marking point: State or imply $\ln y = \ln K + p x \ln 2$

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